{
  "id": "1507.06898",
  "version": "v1",
  "published": "2015-07-24T15:57:50.000Z",
  "updated": "2015-07-24T15:57:50.000Z",
  "title": "Interior $C^{1,α}$ estimates for $p-$Laplacian equations with optimal regularity",
  "authors": [
    "Damiao Araujo",
    "Lei Zhang"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "It is well known that solutions of $\\Delta_p u=f$ are $C^{1,\\alpha}$ as long as $f$ is sufficiently smooth. In this article we determine the optimal $\\alpha$, establish interior $C^{1,\\alpha^-}$ estimates and generalize the results of $p-$Laplacian equation to a class of more general equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-24T15:57:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35J62"
    ],
    "keywords": [
      "laplacian equation",
      "optimal regularity",
      "general equations",
      "sufficiently smooth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}